Finding the Third Proportional to 8,144 and 17,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,144 : 17,846.50 = 17,846.50 : x
2. Step 2: Convert to fraction form
   8,144/17,846.50 = 17,846.50/x
3. Step 3: Cross multiply
   8,144x = 17,846.50 × 17,846.50
4. Step 4: Simplify right side
   8,144x = 318,497,562.25
5. Step 5: Solve for x
   x = 318,497,562.25/8,144
6. Step 6: Final answer
   x = 39,108.25